{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Himmelblau 函数的优化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm\n",
    "from matplotlib.colors import LinearSegmentedColormap\n",
    "\n",
    "import torch"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "定义 Himmelblau 函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def himmelblau(x):\n",
    "    return (x[0] ** 2 + x[1] - 11) ** 2 + (x[0] + x[1] ** 2 - 7) ** 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "绘制 Himmelblau 函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\matplotlib\\figure.py:459: UserWarning: matplotlib is currently using a non-GUI backend, so cannot show the figure\n",
      "  \"matplotlib is currently using a non-GUI backend, \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(-6, 6, 0.1)\n",
    "y = np.arange(-6, 6, 0.1)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = himmelblau([X, Y])\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.gca(projection='3d')\n",
    "ax.plot_surface(X, Y, Z)\n",
    "ax.view_init(60, -30)\n",
    "ax.set_xlabel('x[0]')\n",
    "ax.set_ylabel('x[1]')\n",
    "fig.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "求最小值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 0: x = [0.0, 0.0], f(x) = 170.0\n",
      "step 1000: x = [1.270142912864685, 1.118398904800415], f(x) = 88.42723083496094\n",
      "step 2000: x = [2.332378387451172, 1.9535709619522095], f(x) = 13.730920791625977\n",
      "step 3000: x = [2.8519949913024902, 2.114161729812622], f(x) = 0.6689225435256958\n",
      "step 4000: x = [2.981964111328125, 2.0271568298339844], f(x) = 0.014858869835734367\n",
      "step 5000: x = [2.9991261959075928, 2.0014777183532715], f(x) = 3.956971340812743e-05\n",
      "step 6000: x = [2.999983549118042, 2.0000221729278564], f(x) = 1.1074007488787174e-08\n",
      "step 7000: x = [2.9999899864196777, 2.000013589859009], f(x) = 4.150251697865315e-09\n",
      "step 8000: x = [2.9999938011169434, 2.0000083446502686], f(x) = 1.5572823031106964e-09\n",
      "step 9000: x = [2.9999964237213135, 2.000005006790161], f(x) = 5.256879376247525e-10\n",
      "step 10000: x = [2.999997854232788, 2.000002861022949], f(x) = 1.8189894035458565e-10\n",
      "step 11000: x = [2.9999988079071045, 2.0000014305114746], f(x) = 5.547917680814862e-11\n",
      "step 12000: x = [2.9999992847442627, 2.0000009536743164], f(x) = 1.6370904631912708e-11\n",
      "step 13000: x = [2.999999523162842, 2.000000476837158], f(x) = 5.6843418860808015e-12\n",
      "step 14000: x = [2.999999761581421, 2.000000238418579], f(x) = 1.8189894035458565e-12\n",
      "step 15000: x = [3.0, 2.0], f(x) = 0.0\n",
      "step 16000: x = [3.0, 2.0], f(x) = 0.0\n",
      "step 17000: x = [3.0, 2.0], f(x) = 0.0\n",
      "step 18000: x = [3.0, 2.0], f(x) = 0.0\n",
      "step 19000: x = [3.0, 2.0], f(x) = 0.0\n",
      "step 20000: x = [3.0, 2.0], f(x) = 0.0\n"
     ]
    }
   ],
   "source": [
    "\n",
    "x = torch.tensor([0., 0.], requires_grad=True) # 收敛到 (3, 2)\n",
    "# x = torch.tensor([-1., 0.], requires_grad=True) # 收敛到 (-2.81, 3.13)\n",
    "# x = torch.tensor([-4., 0..], requires_grad=True) # 收敛到 (-3.78, -3.28)\n",
    "# x = torch.tensor([4., 0.], requires_grad=True) # 收敛到 (3.58, -1.85)\n",
    "optimizer = torch.optim.Adam([x,])\n",
    "for step in range(20001):\n",
    "    if step:\n",
    "        optimizer.zero_grad()\n",
    "        f.backward()\n",
    "        optimizer.step()\n",
    "    f = himmelblau(x)\n",
    "    if step % 1000 == 0:\n",
    "        print ('step {}: x = {}, f(x) = {}'.format(step, x.tolist(), f))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "求极大值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 0: x = [0.0, 0.0], f(x) = 170.0\n",
      "step 1000: x = [-0.29735857248306274, -0.6907159686088562], f(x) = 181.12930297851562\n",
      "step 2000: x = [-0.27394047379493713, -0.897539496421814], f(x) = 181.61114501953125\n",
      "step 3000: x = [-0.270916223526001, -0.9224520921707153], f(x) = 181.61651611328125\n",
      "step 4000: x = [-0.2708452045917511, -0.9230348467826843], f(x) = 181.6165313720703\n",
      "step 5000: x = [-0.270844966173172, -0.9230363368988037], f(x) = 181.61651611328125\n",
      "step 6000: x = [-0.27084478735923767, -0.9230372309684753], f(x) = 181.61651611328125\n",
      "step 7000: x = [-0.2708446979522705, -0.9230377078056335], f(x) = 181.61651611328125\n",
      "step 8000: x = [-0.2708446681499481, -0.9230380058288574], f(x) = 181.61651611328125\n",
      "step 9000: x = [-0.27084463834762573, -0.9230383038520813], f(x) = 181.6165313720703\n",
      "step 10000: x = [-0.27084460854530334, -0.9230384230613708], f(x) = 181.6165313720703\n",
      "step 11000: x = [-0.27084457874298096, -0.9230386018753052], f(x) = 181.61651611328125\n",
      "step 12000: x = [-0.27084457874298096, -0.9230386018753052], f(x) = 181.61651611328125\n",
      "step 13000: x = [-0.27084457874298096, -0.9230386018753052], f(x) = 181.61651611328125\n",
      "step 14000: x = [-0.27084457874298096, -0.9230386018753052], f(x) = 181.61651611328125\n",
      "step 15000: x = [-0.27084457874298096, -0.9230386018753052], f(x) = 181.61651611328125\n",
      "step 16000: x = [-0.27084457874298096, -0.9230386018753052], f(x) = 181.61651611328125\n",
      "step 17000: x = [-0.27084457874298096, -0.9230386018753052], f(x) = 181.61651611328125\n",
      "step 18000: x = [-0.27084457874298096, -0.9230386018753052], f(x) = 181.61651611328125\n",
      "step 19000: x = [-0.27084457874298096, -0.9230386018753052], f(x) = 181.61651611328125\n",
      "step 20000: x = [-0.27084457874298096, -0.9230386018753052], f(x) = 181.61651611328125\n"
     ]
    }
   ],
   "source": [
    "x = torch.tensor([0., 0.], requires_grad=True)\n",
    "optimizer = torch.optim.Adam([x,])\n",
    "for step in range(20001):\n",
    "    if step:\n",
    "        optimizer.zero_grad()\n",
    "        (-f).backward()\n",
    "        optimizer.step()\n",
    "    f = himmelblau(x)\n",
    "    if step % 1000 == 0:\n",
    "        print ('step {}: x = {}, f(x) = {}'.format(step, x.tolist(), f))"
   ]
  }
 ],
 "metadata": {
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